Projects
2025 - Master's thesis
For the last year of my master's studies, I've been working on my thesis under the supervision of Professor Aneta Wojnar. The topic of the thesis is "Concept of Mass in Extensions of General Relativity".
The idea of mass and matter can be understood on several levels. In thermodynamics, mass is meant to measure the amount of matter, meanwhile, other classical theory – Newtonian mechanics – distinguish two types of mass: gravitational one, responsible for interactions and acting as a gravitational charge, and inertial one – which measures of resistance against any force acting on a given body. Quantum Field Theory provides a description of mass in terms of energy of interactions, both with the Higgs field and strong interactions between quarks.
On the other hand, in General Relativity definition of mass/energy remains somewhat ambiguous, sometimes being a property of matter, another time a quantity related to spacetime itself. Hypotheses of extended GR, such as f(R) or scalar-tensor models, inevitably inherit this ambiguity and expand it, providing a description of such objects as the gravisphere. Moreover, additional fields (scalar, vector or tensor fields in scalar-tensor, vector-tensor and tensor-tensor models, respectively) may be characterised by a “mass” quantity, which can be effectively coupled to geometry, and therefore leads to spontaneous changes in geometry.
Defence
The defence of my Master’s thesis took place on . The examination board consisted of:
- Chair of the board: Prof. Artur Barasiński
- Thesis supervisor: Prof. Aneta Wojnar
- Reviewer: Prof. Remigiusz Durka
2023 - Bachelor's thesis
During the last year of my bachelor's studies, I was working under the supervision of Professor Jerzy Kowalski-Glikman on the hypothesis called Doubly Special Relativity (or Deformed Special Relativity).
This proposition postulates introducing another observer-invariant scale (energy or length). Constructed in such a way that spacetime requires the usage of noncommutative algebras with bracket action, which in the limit should reduce to the Poincaré algebra. In my thesis "Uncertainty relations in Deformed Special Relativity", I investigated the quantum limit of this hypothesis, in which brackets should reduce to commutators, and therefore provide nontrivial uncertainty relations. On a cosmic scale, where observations of high-energetic particles are possible, stochastic noise produced by these uncertainties appears to be negligible compared to both” other aspects of the hypothesis and real-world measurement possibilities.
Defence
The defence of my Bachelor’s thesis took place on . The examination board consisted of:
- Chair of the board: Prof. Andrzej Frydryszak
- Thesis supervisor: Prof. Jerzy Kowalski-Glikman
- Reviewer: Prof. Andrzej Borowiec